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Simplifying 2v2 = -1v + 36 Reorder the terms: 2v2 = 36 + -1v Solving 2v2 = 36 + -1v Solving for variable 'v'. Reorder the terms: -36 + v + 2v2 = 36 + -1v + -36 + v Reorder the terms: -36 + v + 2v2 = 36 + -36 + -1v + v Combine like terms: 36 + -36 = 0 -36 + v + 2v2 = 0 + -1v + v -36 + v + 2v2 = -1v + v Combine like terms: -1v + v = 0 -36 + v + 2v2 = 0 Factor a trinomial. (-9 + -2v)(4 + -1v) = 0Subproblem 1
Set the factor '(-9 + -2v)' equal to zero and attempt to solve: Simplifying -9 + -2v = 0 Solving -9 + -2v = 0 Move all terms containing v to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -2v = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -2v = 0 + 9 -2v = 0 + 9 Combine like terms: 0 + 9 = 9 -2v = 9 Divide each side by '-2'. v = -4.5 Simplifying v = -4.5Subproblem 2
Set the factor '(4 + -1v)' equal to zero and attempt to solve: Simplifying 4 + -1v = 0 Solving 4 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1v = 0 + -4 -1v = 0 + -4 Combine like terms: 0 + -4 = -4 -1v = -4 Divide each side by '-1'. v = 4 Simplifying v = 4Solution
v = {-4.5, 4}
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